Answer:
9442 lb
Step-by-step explanation:
First find the volume of the tank. This being a sphere, the volume is V =(4/3)π·r³. Here the diameter is 17 ft, so the radius, r, is half that: 8.5 ft.
Then the volume of the sphere is V = (4/3)π·(8.5 ft)³, and half that (the volume of the hemisphere) is (2/3)π·72.25 ft³.
Water weighs 62.4 lb/ft³. To find the weight of the water in the full tank, multiply the tank volume by this weight density 62.4 lb/ft³:
×
(2/3)π·72.25 ft³ · 62.4 lb/ft³ ≈ 9442 lb
Answer:
Step-by-step explanation:
It is given that A tangent-tangent angle intercepts two arcs that measure 135 degrees and 225 degrees, thus in this the vertex lies outside, therefore
The measure of the tangent tangent angle is the half of the difference of the two given arc, that is
⇒
⇒
Therefore, The measure of the tangent tangent angle is 45 degrees.
Answer:
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24x + 4y = 384, where x = number of minutes spent
producing fruit cans, and y = number of minutes
producing vegetable cans.
If the vegetable assembly line runs for 3 minutes, how
many minutes would the fruit assembly line need to run to
complete the order of 384 cans? Explain
Answer:
8 minutes.
Step-by-step explanation:
24x + 64y = 384, that represents the canned goods order .
where x = number of minutes spent producing fruit cans,
and y = number of minutes producing vegetable cans.
If the vegetable assembly line runs for 3 minutes, then put y=3 in equation we get
Therefore, the fruit assembly line need to run to complete the order of 384 cans in 18 minutes.
Answer:
Substitute 3 into the equation for y. Solve for x and find that x = 8. So if cans of vegetables are processed for 3 minutes, fruit needs to be processed for 8 minutes to complete the 384-can order.
Step-by-step explanation:
c) 3 (x - 8) + 17 =29 d) 7x + 12 = 3x - 8